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Finding the Fourth Proportional to 4,473.48, 6,710.58 and 1,875

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Solution

The fourth proportional to 4,473.48, 6,710.58 and 1,875 is: 2,812.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,473.48 : 6,710.58 = 1,875 : x
  2. Step 2: Convert to fraction form
    4,473.48/6,710.58 = 1,875/x
  3. Step 3: Cross multiply
    4,473.48x = 6,710.58 × 1,875
  4. Step 4: Simplify right side
    4,473.48x = 12,582,337.50
  5. Step 5: Solve for x
    x = 12,582,337.50/4,473.48
  6. Step 6: Final answer
    x = 2,812.65

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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.