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Finding the Fourth Proportional to 5,655.34, 7,802.76 and 3,386.40

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Solution

The fourth proportional to 5,655.34, 7,802.76 and 3,386.40 is: 4,672.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.34 : 7,802.76 = 3,386.40 : x
  2. Step 2: Convert to fraction form
    5,655.34/7,802.76 = 3,386.40/x
  3. Step 3: Cross multiply
    5,655.34x = 7,802.76 × 3,386.40
  4. Step 4: Simplify right side
    5,655.34x = 26,423,266.46
  5. Step 5: Solve for x
    x = 26,423,266.46/5,655.34
  6. Step 6: Final answer
    x = 4,672.27

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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.