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Finding the Fourth Proportional to 5,070.71, 7,606.79 and 1,561.01

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Solution

The fourth proportional to 5,070.71, 7,606.79 and 1,561.01 is: 2,341.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.71 : 7,606.79 = 1,561.01 : x
  2. Step 2: Convert to fraction form
    5,070.71/7,606.79 = 1,561.01/x
  3. Step 3: Cross multiply
    5,070.71x = 7,606.79 × 1,561.01
  4. Step 4: Simplify right side
    5,070.71x = 11,874,275.26
  5. Step 5: Solve for x
    x = 11,874,275.26/5,070.71
  6. Step 6: Final answer
    x = 2,341.74

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