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Finding the Fourth Proportional to 4,567.64, 6,292.41 and 4,345.29

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Solution

The fourth proportional to 4,567.64, 6,292.41 and 4,345.29 is: 5,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.64 : 6,292.41 = 4,345.29 : x
  2. Step 2: Convert to fraction form
    4,567.64/6,292.41 = 4,345.29/x
  3. Step 3: Cross multiply
    4,567.64x = 6,292.41 × 4,345.29
  4. Step 4: Simplify right side
    4,567.64x = 27,342,346.25
  5. Step 5: Solve for x
    x = 27,342,346.25/4,567.64
  6. Step 6: Final answer
    x = 5,986.10

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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.