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Finding the Fourth Proportional to 3,581.93, 4,941.60 and 2,585.01

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Solution

The fourth proportional to 3,581.93, 4,941.60 and 2,585.01 is: 3,566.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.93 : 4,941.60 = 2,585.01 : x
  2. Step 2: Convert to fraction form
    3,581.93/4,941.60 = 2,585.01/x
  3. Step 3: Cross multiply
    3,581.93x = 4,941.60 × 2,585.01
  4. Step 4: Simplify right side
    3,581.93x = 12,774,085.42
  5. Step 5: Solve for x
    x = 12,774,085.42/3,581.93
  6. Step 6: Final answer
    x = 3,566.26

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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.