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Finding the Fourth Proportional to 5,252.62, 7,878.93 and 1,356.72

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Solution

The fourth proportional to 5,252.62, 7,878.93 and 1,356.72 is: 2,035.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.62 : 7,878.93 = 1,356.72 : x
  2. Step 2: Convert to fraction form
    5,252.62/7,878.93 = 1,356.72/x
  3. Step 3: Cross multiply
    5,252.62x = 7,878.93 × 1,356.72
  4. Step 4: Simplify right side
    5,252.62x = 10,689,501.91
  5. Step 5: Solve for x
    x = 10,689,501.91/5,252.62
  6. Step 6: Final answer
    x = 2,035.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.