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Finding the Fourth Proportional to 5,070.87, 7,607.02 and 1,561.17

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Solution

The fourth proportional to 5,070.87, 7,607.02 and 1,561.17 is: 2,341.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.87 : 7,607.02 = 1,561.17 : x
  2. Step 2: Convert to fraction form
    5,070.87/7,607.02 = 1,561.17/x
  3. Step 3: Cross multiply
    5,070.87x = 7,607.02 × 1,561.17
  4. Step 4: Simplify right side
    5,070.87x = 11,875,851.41
  5. Step 5: Solve for x
    x = 11,875,851.41/5,070.87
  6. Step 6: Final answer
    x = 2,341.98

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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.