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Finding the Fourth Proportional to 4,868.60, 7,298.43 and 1,580.00

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Solution

The fourth proportional to 4,868.60, 7,298.43 and 1,580.00 is: 2,368.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.60 : 7,298.43 = 1,580.00 : x
  2. Step 2: Convert to fraction form
    4,868.60/7,298.43 = 1,580.00/x
  3. Step 3: Cross multiply
    4,868.60x = 7,298.43 × 1,580.00
  4. Step 4: Simplify right side
    4,868.60x = 11,531,482.91
  5. Step 5: Solve for x
    x = 11,531,482.91/4,868.60
  6. Step 6: Final answer
    x = 2,368.54

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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.