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Finding the Fourth Proportional to 5,360, 8,038.76 and 1,464.70

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Solution

The fourth proportional to 5,360, 8,038.76 and 1,464.70 is: 2,196.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,360 : 8,038.76 = 1,464.70 : x
  2. Step 2: Convert to fraction form
    5,360/8,038.76 = 1,464.70/x
  3. Step 3: Cross multiply
    5,360x = 8,038.76 × 1,464.70
  4. Step 4: Simplify right side
    5,360x = 11,774,371.77
  5. Step 5: Solve for x
    x = 11,774,371.77/5,360
  6. Step 6: Final answer
    x = 2,196.71

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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.