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Finding the Fourth Proportional to 5,569.48, 7,688.06 and 3,802.06

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Solution

The fourth proportional to 5,569.48, 7,688.06 and 3,802.06 is: 5,248.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.48 : 7,688.06 = 3,802.06 : x
  2. Step 2: Convert to fraction form
    5,569.48/7,688.06 = 3,802.06/x
  3. Step 3: Cross multiply
    5,569.48x = 7,688.06 × 3,802.06
  4. Step 4: Simplify right side
    5,569.48x = 29,230,465.40
  5. Step 5: Solve for x
    x = 29,230,465.40/5,569.48
  6. Step 6: Final answer
    x = 5,248.33

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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.