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Finding the Fourth Proportional to 5,655.60, 7,806.36 and 3,417.48

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Solution

The fourth proportional to 5,655.60, 7,806.36 and 3,417.48 is: 4,717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.60 : 7,806.36 = 3,417.48 : x
  2. Step 2: Convert to fraction form
    5,655.60/7,806.36 = 3,417.48/x
  3. Step 3: Cross multiply
    5,655.60x = 7,806.36 × 3,417.48
  4. Step 4: Simplify right side
    5,655.60x = 26,678,079.17
  5. Step 5: Solve for x
    x = 26,678,079.17/5,655.60
  6. Step 6: Final answer
    x = 4,717.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.