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Finding the Fourth Proportional to 4,213, 6,265.76 and 4,130.02

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Solution

The fourth proportional to 4,213, 6,265.76 and 4,130.02 is: 6,142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213 : 6,265.76 = 4,130.02 : x
  2. Step 2: Convert to fraction form
    4,213/6,265.76 = 4,130.02/x
  3. Step 3: Cross multiply
    4,213x = 6,265.76 × 4,130.02
  4. Step 4: Simplify right side
    4,213x = 25,877,714.12
  5. Step 5: Solve for x
    x = 25,877,714.12/4,213
  6. Step 6: Final answer
    x = 6,142.35

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