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Finding the Fourth Proportional to 3,586.61, 4,948.98 and 2,014.40

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Solution

The fourth proportional to 3,586.61, 4,948.98 and 2,014.40 is: 2,779.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,586.61 : 4,948.98 = 2,014.40 : x
  2. Step 2: Convert to fraction form
    3,586.61/4,948.98 = 2,014.40/x
  3. Step 3: Cross multiply
    3,586.61x = 4,948.98 × 2,014.40
  4. Step 4: Simplify right side
    3,586.61x = 9,969,225.31
  5. Step 5: Solve for x
    x = 9,969,225.31/3,586.61
  6. Step 6: Final answer
    x = 2,779.57

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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.