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Finding the Fourth Proportional to 4,568.24, 6,316.44 and 4,358

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Solution

The fourth proportional to 4,568.24, 6,316.44 and 4,358 is: 6,025.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.24 : 6,316.44 = 4,358 : x
  2. Step 2: Convert to fraction form
    4,568.24/6,316.44 = 4,358/x
  3. Step 3: Cross multiply
    4,568.24x = 6,316.44 × 4,358
  4. Step 4: Simplify right side
    4,568.24x = 27,527,045.52
  5. Step 5: Solve for x
    x = 27,527,045.52/4,568.24
  6. Step 6: Final answer
    x = 6,025.74

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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.