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Finding the Fourth Proportional to 4,597.29, 6,302.88 and 4,514.40

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Solution

The fourth proportional to 4,597.29, 6,302.88 and 4,514.40 is: 6,189.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.29 : 6,302.88 = 4,514.40 : x
  2. Step 2: Convert to fraction form
    4,597.29/6,302.88 = 4,514.40/x
  3. Step 3: Cross multiply
    4,597.29x = 6,302.88 × 4,514.40
  4. Step 4: Simplify right side
    4,597.29x = 28,453,721.47
  5. Step 5: Solve for x
    x = 28,453,721.47/4,597.29
  6. Step 6: Final answer
    x = 6,189.24

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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.