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Finding the Fourth Proportional to 5,802.66, 8,012.88 and 3,710.34

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Solution

The fourth proportional to 5,802.66, 8,012.88 and 3,710.34 is: 5,123.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802.66 : 8,012.88 = 3,710.34 : x
  2. Step 2: Convert to fraction form
    5,802.66/8,012.88 = 3,710.34/x
  3. Step 3: Cross multiply
    5,802.66x = 8,012.88 × 3,710.34
  4. Step 4: Simplify right side
    5,802.66x = 29,730,509.18
  5. Step 5: Solve for x
    x = 29,730,509.18/5,802.66
  6. Step 6: Final answer
    x = 5,123.60

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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.