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Finding the Fourth Proportional to 4,014.88, 5,530.62 and 3,490

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Solution

The fourth proportional to 4,014.88, 5,530.62 and 3,490 is: 4,807.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,014.88 : 5,530.62 = 3,490 : x
  2. Step 2: Convert to fraction form
    4,014.88/5,530.62 = 3,490/x
  3. Step 3: Cross multiply
    4,014.88x = 5,530.62 × 3,490
  4. Step 4: Simplify right side
    4,014.88x = 19,301,863.80
  5. Step 5: Solve for x
    x = 19,301,863.80/4,014.88
  6. Step 6: Final answer
    x = 4,807.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.