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Finding the Fourth Proportional to 5,656.40, 7,810.76 and 4,711.76

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Solution

The fourth proportional to 5,656.40, 7,810.76 and 4,711.76 is: 6,506.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,656.40 : 7,810.76 = 4,711.76 : x
  2. Step 2: Convert to fraction form
    5,656.40/7,810.76 = 4,711.76/x
  3. Step 3: Cross multiply
    5,656.40x = 7,810.76 × 4,711.76
  4. Step 4: Simplify right side
    5,656.40x = 36,802,426.54
  5. Step 5: Solve for x
    x = 36,802,426.54/5,656.40
  6. Step 6: Final answer
    x = 6,506.33

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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.