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Finding the Fourth Proportional to 3,585.93, 4,948.57 and 2,014.02

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Solution

The fourth proportional to 3,585.93, 4,948.57 and 2,014.02 is: 2,779.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.93 : 4,948.57 = 2,014.02 : x
  2. Step 2: Convert to fraction form
    3,585.93/4,948.57 = 2,014.02/x
  3. Step 3: Cross multiply
    3,585.93x = 4,948.57 × 2,014.02
  4. Step 4: Simplify right side
    3,585.93x = 9,966,518.95
  5. Step 5: Solve for x
    x = 9,966,518.95/3,585.93
  6. Step 6: Final answer
    x = 2,779.34

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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.