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Finding the Fourth Proportional to 5,683.64, 8,522.58 and 2,603

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Solution

The fourth proportional to 5,683.64, 8,522.58 and 2,603 is: 3,903.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,683.64 : 8,522.58 = 2,603 : x
  2. Step 2: Convert to fraction form
    5,683.64/8,522.58 = 2,603/x
  3. Step 3: Cross multiply
    5,683.64x = 8,522.58 × 2,603
  4. Step 4: Simplify right side
    5,683.64x = 22,184,275.74
  5. Step 5: Solve for x
    x = 22,184,275.74/5,683.64
  6. Step 6: Final answer
    x = 3,903.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.