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Finding the Fourth Proportional to 4,597.60, 6,897.48 and 2,001.28

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Solution

The fourth proportional to 4,597.60, 6,897.48 and 2,001.28 is: 3,002.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.60 : 6,897.48 = 2,001.28 : x
  2. Step 2: Convert to fraction form
    4,597.60/6,897.48 = 2,001.28/x
  3. Step 3: Cross multiply
    4,597.60x = 6,897.48 × 2,001.28
  4. Step 4: Simplify right side
    4,597.60x = 13,803,771.53
  5. Step 5: Solve for x
    x = 13,803,771.53/4,597.60
  6. Step 6: Final answer
    x = 3,002.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.