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Finding the Fourth Proportional to 5,492.95, 7,580.30 and 3,070.31

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Solution

The fourth proportional to 5,492.95, 7,580.30 and 3,070.31 is: 4,237.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.95 : 7,580.30 = 3,070.31 : x
  2. Step 2: Convert to fraction form
    5,492.95/7,580.30 = 3,070.31/x
  3. Step 3: Cross multiply
    5,492.95x = 7,580.30 × 3,070.31
  4. Step 4: Simplify right side
    5,492.95x = 23,273,877.55
  5. Step 5: Solve for x
    x = 23,273,877.55/5,492.95
  6. Step 6: Final answer
    x = 4,237.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.