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Finding the Fourth Proportional to 4,354.16, 6,492.96 and 4,314.67

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Solution

The fourth proportional to 4,354.16, 6,492.96 and 4,314.67 is: 6,434.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.16 : 6,492.96 = 4,314.67 : x
  2. Step 2: Convert to fraction form
    4,354.16/6,492.96 = 4,314.67/x
  3. Step 3: Cross multiply
    4,354.16x = 6,492.96 × 4,314.67
  4. Step 4: Simplify right side
    4,354.16x = 28,014,963.49
  5. Step 5: Solve for x
    x = 28,014,963.49/4,354.16
  6. Step 6: Final answer
    x = 6,434.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.