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Finding the Fourth Proportional to 5,268.61, 7,904.31 and 1,570.87

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Solution

The fourth proportional to 5,268.61, 7,904.31 and 1,570.87 is: 2,356.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,268.61 : 7,904.31 = 1,570.87 : x
  2. Step 2: Convert to fraction form
    5,268.61/7,904.31 = 1,570.87/x
  3. Step 3: Cross multiply
    5,268.61x = 7,904.31 × 1,570.87
  4. Step 4: Simplify right side
    5,268.61x = 12,416,643.45
  5. Step 5: Solve for x
    x = 12,416,643.45/5,268.61
  6. Step 6: Final answer
    x = 2,356.72

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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.