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Finding the Fourth Proportional to 4,765.95, 7,148.06 and 1,303.17

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Solution

The fourth proportional to 4,765.95, 7,148.06 and 1,303.17 is: 1,954.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.95 : 7,148.06 = 1,303.17 : x
  2. Step 2: Convert to fraction form
    4,765.95/7,148.06 = 1,303.17/x
  3. Step 3: Cross multiply
    4,765.95x = 7,148.06 × 1,303.17
  4. Step 4: Simplify right side
    4,765.95x = 9,315,130.83
  5. Step 5: Solve for x
    x = 9,315,130.83/4,765.95
  6. Step 6: Final answer
    x = 1,954.52

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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.