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Finding the Fourth Proportional to 3,656.16, 5,483.84 and 1,681.25

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Solution

The fourth proportional to 3,656.16, 5,483.84 and 1,681.25 is: 2,521.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.16 : 5,483.84 = 1,681.25 : x
  2. Step 2: Convert to fraction form
    3,656.16/5,483.84 = 1,681.25/x
  3. Step 3: Cross multiply
    3,656.16x = 5,483.84 × 1,681.25
  4. Step 4: Simplify right side
    3,656.16x = 9,219,670.17
  5. Step 5: Solve for x
    x = 9,219,670.17/3,656.16
  6. Step 6: Final answer
    x = 2,521.68

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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.