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Finding the Fourth Proportional to 5,075.76, 6,977.68 and 4,365

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Solution

The fourth proportional to 5,075.76, 6,977.68 and 4,365 is: 6,000.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075.76 : 6,977.68 = 4,365 : x
  2. Step 2: Convert to fraction form
    5,075.76/6,977.68 = 4,365/x
  3. Step 3: Cross multiply
    5,075.76x = 6,977.68 × 4,365
  4. Step 4: Simplify right side
    5,075.76x = 30,457,573.20
  5. Step 5: Solve for x
    x = 30,457,573.20/5,075.76
  6. Step 6: Final answer
    x = 6,000.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.