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Finding the Fourth Proportional to 4,307.40, 6,461.10 and 1,534.77

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Solution

The fourth proportional to 4,307.40, 6,461.10 and 1,534.77 is: 2,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.40 : 6,461.10 = 1,534.77 : x
  2. Step 2: Convert to fraction form
    4,307.40/6,461.10 = 1,534.77/x
  3. Step 3: Cross multiply
    4,307.40x = 6,461.10 × 1,534.77
  4. Step 4: Simplify right side
    4,307.40x = 9,916,302.45
  5. Step 5: Solve for x
    x = 9,916,302.45/4,307.40
  6. Step 6: Final answer
    x = 2,302.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.