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Finding the Fourth Proportional to 6,386.55, 8,813.46 and 3,734.01

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Solution

The fourth proportional to 6,386.55, 8,813.46 and 3,734.01 is: 5,152.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.55 : 8,813.46 = 3,734.01 : x
  2. Step 2: Convert to fraction form
    6,386.55/8,813.46 = 3,734.01/x
  3. Step 3: Cross multiply
    6,386.55x = 8,813.46 × 3,734.01
  4. Step 4: Simplify right side
    6,386.55x = 32,909,547.77
  5. Step 5: Solve for x
    x = 32,909,547.77/6,386.55
  6. Step 6: Final answer
    x = 5,152.95

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Why These Related Problems?

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