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Finding the Fourth Proportional to 4,897.32, 7,347.16 and 1,610.24

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Solution

The fourth proportional to 4,897.32, 7,347.16 and 1,610.24 is: 2,415.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.32 : 7,347.16 = 1,610.24 : x
  2. Step 2: Convert to fraction form
    4,897.32/7,347.16 = 1,610.24/x
  3. Step 3: Cross multiply
    4,897.32x = 7,347.16 × 1,610.24
  4. Step 4: Simplify right side
    4,897.32x = 11,830,690.92
  5. Step 5: Solve for x
    x = 11,830,690.92/4,897.32
  6. Step 6: Final answer
    x = 2,415.75

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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.