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Finding the Fourth Proportional to 5,434.59, 7,470.86 and 4,675.58

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Solution

The fourth proportional to 5,434.59, 7,470.86 and 4,675.58 is: 6,427.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,434.59 : 7,470.86 = 4,675.58 : x
  2. Step 2: Convert to fraction form
    5,434.59/7,470.86 = 4,675.58/x
  3. Step 3: Cross multiply
    5,434.59x = 7,470.86 × 4,675.58
  4. Step 4: Simplify right side
    5,434.59x = 34,930,603.60
  5. Step 5: Solve for x
    x = 34,930,603.60/5,434.59
  6. Step 6: Final answer
    x = 6,427.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.